| 基于连分式插值理论的非线性回归问题 |
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| 引用本文： | 周金明.基于连分式插值理论的非线性回归问题[J].安徽工程科技学院学报,2009,24(3):61-63. |
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| 作者姓名： | 周金明 |
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| 作者单位： | 安徽工程科技学院,应用数理系,安徽,芜湖,241000 |
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| 基金项目： | 安徽省自然科学基金资助项目，安徽工程科技学院青年基金资助项目 |
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| 摘 要： | 变量之间的关系不是线性相关关系时,不可以用线性回归方程描述它们之间的相关关系,需要进行非线性回归分析.然而非线性回归方程一般很难求,因此,把非线性回归化为线性回归应该说是解决问题的好方法.利用连分式插值函数方法逼近非线性函数可实现回归函数的拟合,通过实例说明该方法的有效性,比传统的最小二乘法效果更好.
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| 关 键 词： | 连分式插值 非线性回归 反差商 |
The non-linear regression using the theory of continued fraction interpolation |
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| ZHOU Jin-ming.The non-linear regression using the theory of continued fraction interpolation[J].Journal of Anhui University of Technology and Science,2009,24(3):61-63. |
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| Authors: | ZHOU Jin-ming |
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| Institution: | ZHOU Jin-ming (Dept.of Appl.Math.& Phy.Dept.,Anhui University of Technology , Science,Wuhu 241000,China) |
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| Abstract: | As for the non-linear relation between variables,Linear regression can be used to solve it.Non-linear regression is often utilized to analyse and to find the resolution,a good method to transform the non-linear relation to linear relation.A rational interpolation,continued fraction interpolation,is used to solve the non-linear regression problems.And it is proved better than the traditional method of Limit Square Method.Finally,examples are presented to illustrate its validity. |
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| Keywords: | continued fraction interpolation non-linear regression inverse differences |
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